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Finding the Third Proportional to 3,945,772,616.50 and 8,586,160,156

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Solution

The third proportional to 3,945,772,616.50 and 8,586,160,156 is: 18,683,830,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945,772,616.50 : 8,586,160,156 = 8,586,160,156 : x
  2. Step 2: Convert to fraction form
    3,945,772,616.50/8,586,160,156 = 8,586,160,156/x
  3. Step 3: Cross multiply
    3,945,772,616.50x = 8,586,160,156 × 8,586,160,156
  4. Step 4: Simplify right side
    3,945,772,616.50x = 73,722,146,224,481,943,552
  5. Step 5: Solve for x
    x = 73,722,146,224,481,943,552/3,945,772,616.50
  6. Step 6: Final answer
    x = 18,683,830,364.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.